NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - True or False Questions
Question 41

Question. 41

\(5555=5\times1000+5\times100+5\times10+5\times1\).

Answer:

true

Detailed Answer with Explanation:

Why this is true (very simple steps):

Step 1: Write the place values.

Thousands place = \(1000\)

Hundreds place = \(100\)

Tens place = \(10\)

Ones place = \(1\)

Step 2: The number is 5555, so each place has the digit 5.

Thousands part = \(5 \times 1000\)

Hundreds part = \(5 \times 100\)

Tens part = \(5 \times 10\)

Ones part = \(5 \times 1\)

Step 3: Find each value.

\(5 \times 1000 = 5000\)

\(5 \times 100 = 500\)

\(5 \times 10 = 50\)

\(5 \times 1 = 5\)

Step 4: Add them in order.

\(5000 + 500 = 5500\)

\(5500 + 50 = 5550\)

\(5550 + 5 = 5555\)

Conclusion: \(5555\) equals \(5\times1000 + 5\times100 + 5\times10 + 5\times1\). So the statement is true.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – True or False Questions | Detailed Answers